A particular countrys treasury issued a 35year bond on Febru

A particular country\'s treasury issued a 35-year bond on February 10, 2011, paying 5.250% interest. Thus, if you bought $100,000 worth of these bonds you would receive $5,250 per year in interest for 35 years. An investor wishes to buy the rights to receive the interest on $100,000 worth of these bonds. The amount the investor is willing to pay is the present value of the interest payments, assuming a 3% rate of return. Assuming (incorrectly, but approximately) that the interest payments are made continuously, what will the investor pay? (Round your answer to the nearest cent.)

$______

Solution

If 3% rate of return is assumed then present value of 5250 for 35 years is calculated as follows:

NPV will be:

Hence investor can pay 112807.90 dollars.

Year NPV
1 5097.087
2 4948.629
3 4804.494
4 4664.557
5 4528.696
6 4396.792
7 4268.73
8 4144.398
9 4023.688
10 3906.493
11 3792.712
12 3682.244
13 3574.995
14 3470.868
15 3369.775
16 3271.626
17 3176.336
18 3083.822
19 2994.002
20 2906.798
21 2822.134
22 2739.936
23 2660.132
24 2582.652
25 2507.429
26 2434.397
27 2363.493
28 2294.653
29 2227.818
30 2162.93
31 2099.933
32 2038.769
33 1979.388
34 1921.736
35 1865.763
Total 112807.9
A particular country\'s treasury issued a 35-year bond on February 10, 2011, paying 5.250% interest. Thus, if you bought $100,000 worth of these bonds you would
A particular country\'s treasury issued a 35-year bond on February 10, 2011, paying 5.250% interest. Thus, if you bought $100,000 worth of these bonds you would

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